Applied Statistics and Probability for Engineers, 6th Edition

Appendix C

Answers to Selected Exercises

Chapter 2

Section 2-1

2-1. Let a, b denote a part above, below the specification, respectively

S = {aaa, aab, aba, abb, baa, bab, bba, bbb}

2-3. Let a denote an acceptable power supply

Let f, m, c denote a supply with a functional, minor, or cosmetic error, respectively.

S = {a, f, m, c}

2-5. Sequences of y or n of length 24 with 2²⁴ outcomes

2-7. S is the sample space of 100 possible two digit integers.

2-9. S = {0,1,2, ...,1E09} in ppb

2-11. S = {1.0,1.1,1.2,...,14.0}

2-13. S = {0,1,2,...,} in milliseconds

2-17. c = connect, b = busy,

S = {c, bc, bbc, bbbc, bbbbc,...}

2-21. (a) S = nonnegative integers from 0 to the largest integer that can be displayed by the scale S = {0,1,2,3,...}

(b) S

(c) {12,13,14,15}

(d) {0,1,2,...,11}

(e) S

(f) {0,1,2,...,7}

(g) ∅

(h) ∅

(i) {8,9,10,...}

2-23. Let d denoted a distorted bit and let o denote a bit that is not distorted.

(b) No, for example

(e) A₁ ∩ A₂ ∩ A₃ ∩ A₄ = {dddd}

(f) (A₁ ∩ A₂) ∪ (A₃ ∩ A₄) = {dddd, dodd, dddo, oddd, ddod, oodd, ddoo}

2-25. Let P denote being positive and let N denote being negative. The sample space is {PPP, PPN, PNP, NPP, PNN, NPN, NNP, NNN}.

(a) A = {PPP}

(b) B = {NNN}

(c) A ∩ B = ∅

(d) A ∪ B = {PPP, NNN}

2-27. (a) A′ ∩ B = 10, B′ = 10, A ∪ B = 92

2-29. (a) A′ = {x|x ≥ 72.5} ...